385829577 has 36 divisors (see below), whose sum is σ = 676503360. Its totient is φ = 210882672.

The previous prime is 385829539. The next prime is 385829597. The reversal of 385829577 is 775928583.

385829577 is a `hidden beast` number, since 3 + 8 + 582 + 9 + 57 + 7 = 666.

It is not a de Polignac number, because 385829577 - 2⁶ = 385829513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385829537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8877 + ... + 29162.

It is an arithmetic number, because the mean of its divisors is an integer number (18791760).

Almost surely, 2^385829577 is an apocalyptic number.

It is an amenable number.

385829577 is a deficient number, since it is larger than the sum of its proper divisors (290673783).

385829577 is a wasteful number, since it uses less digits than its factorization.

385829577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38082 (or 38072 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 385829577 is about 19642.5450744042. The cubic root of 385829577 is about 728.0007704627. Note that the first 3 decimals are identical.

The spelling of 385829577 in words is "three hundred eighty-five million, eight hundred twenty-nine thousand, five hundred seventy-seven".